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Unformatted text preview: nguyen (jmn727) oldhomework 34 Turner (59070) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points The reflecting surfaces of two intersecting flat mirrors are at an angle of 58 , as shown in the figure. A light ray strikes the horizontal mirror at an angle of 47 with respect to the mirrors surface. 58 47 Figure is not drawn to scale. Calculate the angle . Correct answer: 64 . Explanation: Basic Concept: incident = reflected Solution: 1 2 Figure is to scale. The sum of the angles in a triangle is 180 . In the triangle on the left we have angles , 180 - 1 2 , and 180 - 2 2 , so 180 = + 180 - 1 2 + 180 - 2 2 , or 1 + 2 = 2 . (1) In the triangle on the right we have angles 1 , 2 , and . 180 = 1 + 2 + , so 1 + 2 = 180 - . (2) Combining Eq. 1 and 2, we have = 180 - 2 = 180 - 2 (58 ) = 64 . As a matter of interest, in the upper-half of the figure the angles (clockwise) in the triangles from left to right are 43 , 43 , and 94 ; 86 , 32 , and 62 ; 118 , 15 , and 47 ; 133 , 15 , and 32 ; and in the lower-half of the figure the angles (counter-clockwise) in the triangles from left to right are 15 , 15 , and 150 ; 30 , 32 , and 118 ; 62 , 43 , and 75 ; 105 , 43 , and 32 . 002 (part 1 of 2) 10.0 points Consider the case in which light ray A is in- cident on mirror 1 , as shown in the figure. The reflected ray is incident on mirror 2 and subsequently reflected as ray B. Let the an- gle of incidence (with respect to the normal) on mirror 1 be A = 42 and the point of incidence be located 20 cm from the edge of contact between the two mirrors. nguyen (jmn727) oldhomework 34 Turner (59070) 2 90 x A B mirror 1 mirror 2 A B What is the angle of the reflection of ray B (with respect to the normal) on mirror 2 ? Correct answer: 48 ....
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